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Finding the Third Proportional to 87,847 and 188,086

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Solution

The third proportional to 87,847 and 188,086 is: 402,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,847 : 188,086 = 188,086 : x
  2. Step 2: Convert to fraction form
    87,847/188,086 = 188,086/x
  3. Step 3: Cross multiply
    87,847x = 188,086 × 188,086
  4. Step 4: Simplify right side
    87,847x = 35,376,343,396
  5. Step 5: Solve for x
    x = 35,376,343,396/87,847
  6. Step 6: Final answer
    x = 402,704.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.